Two pipes can fill a tank in $20$ and $24$ $minutes$ respectively and a waste pipe can empty $3$ $gallons$ per $minute$. All the three pipes working together can fill the tank in $15$ $minutes$. The capacity of the tank is?

  • A
    $60 \text{ gallons}$
  • B
    $100 \text{ gallons}$
  • C
    $120 \text{ gallons}$
  • D
    $180 \text{ gallons}$

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Two pipes $A$ and $B$ can fill a tank in $15$ minutes and $20$ minutes respectively. Both the pipes are opened together but after $4$ minutes,pipe $A$ is turned off. What is the total time required to fill the tank?

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